Search a number
-
+
201536056656 = 2432111223104033
BaseRepresentation
bin1011101110110001111…
…1000010110101010000
3201021012101122110002200
42323230133002311100
511300221212303111
6232330121043200
720363152134204
oct2735437026520
9637171573080
10201536056656
117851a939310
1233086026500
131600a62713c
149a7c0ccb04
155398242256
hex2eec7c2d50

201536056656 has 120 divisors (see below), whose sum is σ = 615804710976. Its totient is φ = 61021009920.

The previous prime is 201536056651. The next prime is 201536056693. The reversal of 201536056656 is 656650635102.

201536056656 is a `hidden beast` number, since 2 + 0 + 1 + 5 + 36 + 0 + 566 + 56 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201536056651) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1885216 + ... + 1989248.

Almost surely, 2201536056656 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201536056656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307902355488).

201536056656 is an abundant number, since it is smaller than the sum of its proper divisors (414268654320).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

201536056656 is a wasteful number, since it uses less digits than its factorization.

201536056656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105281 (or 105272 counting only the distinct ones).

The product of its (nonzero) digits is 972000, while the sum is 45.

The spelling of 201536056656 in words is "two hundred one billion, five hundred thirty-six million, fifty-six thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 132 144 176 198 264 396 528 792 1223 1584 2446 3669 4892 7338 9784 11007 13453 14676 19568 22014 26906 29352 40359 44028 53812 58704 80718 88056 104033 107624 121077 161436 176112 208066 215248 242154 312099 322872 416132 484308 624198 645744 832264 936297 968616 1144363 1248396 1664528 1872594 1937232 2288726 2496792 3433089 3745188 4577452 4993584 6866178 7490376 9154904 10299267 13732356 14980752 18309808 20598534 27464712 41197068 54929424 82394136 127232359 164788272 254464718 381697077 508929436 763394154 1017858872 1145091231 1399555949 1526788308 2035717744 2290182462 2799111898 3053576616 4198667847 4580364924 5598223796 6107153232 8397335694 9160729848 11196447592 12596003541 16794671388 18321459696 22392895184 25192007082 33589342776 50384014164 67178685552 100768028328 201536056656